1 citations · 1 across the 4 of their papers we have counts for
9 papers
On Limit Measures and Their Supports for Stochastic Ordinary Differential Equations
Tianyuan Xu, Lifeng Chen, Jifa Jiang
This paper studies limit measures of stationary measures of stochastic ordinary differential equations on the Euclidean space and tries to determine which invariant measures of an…
Subregular -rings of Coxeter systems via quiver path algebras
Ivan Dimitrov, Charles Paquette, David Wehlau +1
We study the subregular -ring of a Coxeter system , a subring of Lusztig's -ring. We prove that is isomorphic to a quotient of the path algebra of the doub…
Propagation speed of degenerate diffusion equations with time delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
We are concerned with a class of degenerate diffusion equations with time delay describing population dynamics with age structure. In our recent study [{\em Nonlinearity}, 33 (2020…
A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion
Shanming Ji, Zhian Wang, Tianyuan Xu +1
This paper is concerned with traveling wave solutions for a chemotaxis model with degenerate diffusion of porous medium type. We establish the existence of semi-finite traveling wa…
Variational Approach of Critical Sharp Front Speeds in Density-dependent Diffusion Model with Time Delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
For the classical reaction diffusion equation, the priori speed of fronts is determined exactly in the pioneering paper (R.D. Benguria and M.C. Depassier, {\em Commun. Math. Phys.}…
Sharp, Smooth, and Oscillatory Traveling Waves of Degenerate Diffusion Equation with Delay
Tianyuan Xu, Shanming Ji, Ming Mei +1
We consider the non-monotone degenerate diffusion equation with time delay. Different from the linear diffusion equation, the degenerate equation allows for semi-compactly supporte…